Search a number
-
+
200135622960 = 243457131917863
BaseRepresentation
bin1011101001100100000…
…0110100000100110000
3201010120210111001020000
42322121000310010300
511234334204413320
6231535132550000
720313355504140
oct2723100640460
9633523431200
10200135622960
1177971383799
1232955022300
1315b46456150
149988106920
155315313c90
hex2e99034130

200135622960 has 800 divisors, whose sum is σ = 900585692160. Its totient is φ = 40001734656.

The previous prime is 200135622913. The next prime is 200135622971. The reversal of 200135622960 is 69226531002.

200135622960 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 562 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11194989 + ... + 11212851.

Almost surely, 2200135622960 is an apocalyptic number.

200135622960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200135622960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450292846080).

200135622960 is an abundant number, since it is smaller than the sum of its proper divisors (700450069200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200135622960 is a wasteful number, since it uses less digits than its factorization.

200135622960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17927 (or 17912 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 200135622960 in words is "two hundred billion, one hundred thirty-five million, six hundred twenty-two thousand, nine hundred sixty".